新疆石油地质

新疆石油地质 ›› 2011, Vol. 32 ›› Issue (6): 650-652.

• 应用技术 • 上一篇    下一篇

二维频率空间域声波数值模拟及其应用

廖建平1a,1b, 王华忠2, 杨天春1a, 王齐仁1a, 刘新华1a   

  1. 1.湖南科技大学a.土木工程学院地质系;b.煤炭资源清洁利用与矿山环境保护湖南省重点实验室,湖南湘潭411201;
    2.同济大学海洋地质国家重点实验室,上海 200092
  • 收稿日期:2011-01-10 出版日期:2011-12-01 发布日期:2020-08-20
  • 作者简介:廖建平（1976-）,男,湖南衡阳人,博士,地震波正反演方法研究,（Tel）0731-58290052（E-mail）bob1jp@163.com.
  • 基金资助:
    国家863 项目（2006AA09Z323）; 国家“高等学校特色专业建设点”基金（TS11027）

2-D Acoustic Wave Numerical Simulation and It's Application in Frequency Space Domain

LIAO Jian-ping1a,1b, WANG Hua-zhong2, YANG Tian-chun1a, WANG Qi-ren1a, LIU Xin-hua1a   

  1. 1. Hunan University of Science and Technology, a. Geology Department, School of Civil Engineering, b. Hunan Province Key Laboratory of Coal Resource Clean Utilization and Mine Environment Protection , Xiangtan, Hunan 411201,China;
    2. State Key Laboratory of Marine Geology, Tongji University, Shanghai 200092, China
  • Received:2011-01-10 Online:2011-12-01 Published:2020-08-20

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摘要： 采用嵌套剖分法存储有限差分离散频率空间域声波波动方程所形成的大规模稀疏系数矩阵,极大地减少了对计算机内存需求和计算量。使用二维频率空间域声波多炮快速模拟计算流程,提高了数值模拟的计算速度。详细分析讨论了频率域正演模拟时所出现的震源奇异性问题,并提出了相应的解决措施,理清了频率空间域声波数值模拟时正确选取参数的原则。通过对胜利油田有代表性的复杂地质构造速度模型的数值模拟试验,证明嵌套剖分法具有占计算机存储量少、计算速度快、计算效率高等优势,完全能够用于模拟实际资料。

关键词: 嵌套剖分法, 有限差分, 频率空间域, 稀疏矩阵, 震源奇异性

Abstract: Adopting the nested-dissection method to store the acoustic wave equations for finite difference dispersion frequency space domain can shape large scale sparse coefficient matrix, which can decrease the requirement of computer capacity and reduce the computing amount greatly. Using the fast computational procedure of multi-shot acoustic wave simulation in 2-D frequency space domain can also increase the computing velocity of numerical simulation. In this paper, the hypocenter singularity problem from the frequency domain forward modeling is analyzed and discussed in detail, and corresponding solved measures are proposed, clarifying the principle for correct selection of parameters during such a numerical simulation. The results of numerical simulation experiments on the velocity model of representative complex geologic structures in Shengli oilfield demonstrate that the nested-dissection method has many advantages compared to compressed storage format, such as saving huge storage and computing time and high computing efficiency, etc., and it can be definitely used to simulate real data.

Key words: nested-dissection method, finite difference, frequency space domain, sparse matrix, hypocenter singularity

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